MIRROR SYMMETRY FOR DOUBLE COVER CALABI-YAU VARIETIES

Shinobu Hosono, Tsung Ju Lee, Bong H. Lian, Shing Tung Yau

Research output: Contribution to journalArticlepeer-review

Abstract

The presented paper is a continuation of the series of papers [17, 18]. In this paper, utilizing Batyrev and Borisov's duality construction on nef-partitions, we generalize the recipe in [17, 18] to construct a pair of singular double cover Calabi-Yau varieties (Y, Y ) over toric manifolds and compute their topological Euler characteristics and Hodge numbers. In the 3-dimensional cases, we show that (Y, Y ) forms a topological mirror pair, i.e., hp,q(Y ) = h3-p,q(Y ) for all p, q.

Original languageEnglish
Pages (from-to)409-431
Number of pages23
JournalJournal of Differential Geometry
Volume127
Issue number1
DOIs
Publication statusPublished - 2024 May

All Science Journal Classification (ASJC) codes

  • Analysis
  • Algebra and Number Theory
  • Geometry and Topology

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